3429907200 has 432 divisors, whose sum is σ = 13139159040. Its totient is φ = 873861120.

The previous prime is 3429907157. The next prime is 3429907237. The reversal of 3429907200 is 27099243.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3429907200² = 23528526801223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973969 + ... + 3974831.

It is an arithmetic number, because the mean of its divisors is an integer number (30414720).

Almost surely, 2^3429907200 is an apocalyptic number.

3429907200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569579520).

3429907200 is an abundant number, since it is smaller than the sum of its proper divisors (9709251840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3429907200 is a wasteful number, since it uses less digits than its factorization.

3429907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3429907200 is about 58565.4095862054. The cubic root of 3429907200 is about 1508.0906821147.

The spelling of 3429907200 in words is "three billion, four hundred twenty-nine million, nine hundred seven thousand, two hundred".